I've started mocking something up.
I've got a Whizzer Amabasador with no engine and a Vespa engine with no bike to put it in.

The fit is closer than I expected, I think I'll only have to chop the front mount on the Vespa engine and put a bracket on the downtubes for it. The rear will need to come up a little bit to allow me to change the gear oil in the engine.
My friend thinks we can put a pulley on the output shaft from the transmission, Or we may Possibly mount a pully to the hub for the wheel so we can still operate the brake that's built into the engine.
We'll need to figure out a idler pully, some sort of belt tension device, and a way to get a 3 to 1 ratio between that hula-hoop on the rear wheel and the Vespa motor.
I've got a Whizzer Amabasador with no engine and a Vespa engine with no bike to put it in.

The fit is closer than I expected, I think I'll only have to chop the front mount on the Vespa engine and put a bracket on the downtubes for it. The rear will need to come up a little bit to allow me to change the gear oil in the engine.
My friend thinks we can put a pulley on the output shaft from the transmission, Or we may Possibly mount a pully to the hub for the wheel so we can still operate the brake that's built into the engine.
We'll need to figure out a idler pully, some sort of belt tension device, and a way to get a 3 to 1 ratio between that hula-hoop on the rear wheel and the Vespa motor.